{
  "id": "1504.07709",
  "version": "v1",
  "published": "2015-04-29T02:56:33.000Z",
  "updated": "2015-04-29T02:56:33.000Z",
  "title": "The connection between statics and dynamics of spin glasses",
  "authors": [
    "Matthew Wittmann",
    "A. P. Young"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e. in the mean-field regime). The system is quenched to a temperature well below the transition temperature $T_c$ and the growth of correlations is observed. The spatial decay of the correlations at distances less than the dynamic correlation length $\\xi(t)$ agrees quantitatively with the predictions of a static theory, the \"metastate\", evaluated according to the replica symmetry breaking (RSB) theory. We also compute the dynamic exponent $z(T)$ defined by $\\xi(t) \\propto t^{1/z(T)}$ and find that it is compatible with the mean-field value of the critical dynamical exponent for short range spin glasses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-29T02:56:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "connection",
      "short range spin glasses",
      "one-dimensional ising spin glass",
      "dynamic correlation length",
      "short-range spin glass"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2016/01/013301",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2016,
      "month": "Jan",
      "volume": 2016,
      "number": 1,
      "pages": "013301"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016JSMTE..01.3301W"
    }
  }
}